The probability that a measurement falls within a range of \(n\) standard deviations from an estimate of the mean
type: Item
instance of: scholarly article
title: The probability that a measurement falls within a range of \(n\) standard deviations from an estimate of the mean
zbMATH Open document ID: 1264.62025
DOI: 10.5402/2012/710806
author: Louis M. Houston
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: We derive a general equation for the probability that a measurement falls within a range of \(n\) standard deviations from an estimate of the mean. So we provide a frame that is compatible with a confidence interval centered about the mean that is naturally independent of the sample size. The equation is derived by interpolating theoretical results for extreme sample sizes. The intermediate value of the equation is confirmed with a computational test.
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 65C60
zbMATH DE Number: 6172975
Wikidata QID: Q58691738
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/710806
OpenAlex ID: W1984241551
cites work: Essential statistics.
cites work: Q4266579
cites work: Sign data derivative recovery
description: scientific article; zbMATH DE number 6172975